Complexity growth rates for AdS black holes in massive gravity and f(R) gravity

Guo, Wen-Di; Wei, Shao-Wen; Li, Yanyan; Liu, Yu-Xiao

doi:10.1140/epjc/s10052-017-5466-5

Cited by 59 publications

(41 citation statements)

References 68 publications

(86 reference statements)

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“…However, here it is also determined by the quantities on the Misner string, i.e., the Misner potential ψ and Misner charge N (±) . Besides, we also found that the electric charge appeared in the late-time rate is the total charge of this black hole, while as indicated by the previous literature [6][7][8][9][10][11], it is only the charges on the horizon for the normal black hole case. These results imply that the holographic complexity can exactly reflect the non-trivial topological of this spacetime.…”

Section: Discussionsupporting

confidence: 78%

Holographic complexity of charged Taub-NUT-AdS black holes

Jiang

Deng

2019

Phys. Rev. D

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In this paper, we investigate the holographic complexity in the charged Taub-NUT-AdS black holes with Misner strings present in the Einstein-Maxwell gravity. We show that differing from the normal black holes, where the late-time complexity growth rate is only determined by the quantities at outer and inner "Reissner-Nordstrom"-type (RN-type) horizons, here the quantities (the Misner potential and Misner charge) related to the Misner strings also play an important role in CA complexity. Similar to the case of the normal electromagnetic black hole, the late-time rate for the original CA conjecture is independent on the magnetic charges. However, disparate with common results of the dyonic solutions, the electric charge appeared here is the total charge of this black hole. Besides, we found that the result in this original CA conjecture also violates the electromagnetic duality. And this duality can be restored by adding the Maxwell boundary term with the proportional constant γ = 1/2. In this case, the late-time rate is sensitive to the magnetic charge. Moreover, we also found that the additional term only changes the proportion between the electric and magnetic charges, and it does not affect the Misner term appeared in the late-time rate. Finally, we studied the time-dependence of the complexity growth rate and found that they share similar behaviors with that in RN-AdS black holes. *

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Section: Discussionsupporting

confidence: 78%

Holographic complexity of charged Taub-NUT-AdS black holes

Jiang

Deng

2019

Phys. Rev. D

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“…It would be interesting to study both CA and CV in these examples, in order to get control on both the conjectures in the case of higher derivatives terms in the gravity action. The CA conjecture for higher derivatives gravity was already studied by several authors in in [60,61,62,63], but always in the late-time limit. In particular, ref.…”

Section: Discussionmentioning

confidence: 92%

Complexity and action for warped AdS black holes

Auzzi

Baiguera

Grassi

et al. 2018

J. High Energ. Phys.

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The Complexity=Action conjecture is studied for black holes in Warped AdS 3 space, realized as solutions of Einstein gravity plus matter. The time dependence of the action of the Wheeler-DeWitt patch is investigated, both for the non-rotating and the rotating case. The asymptotic growth rate is found to be equal to the Hawking temperature times the Bekenstein-Hawking entropy; this is in agreement with a previous calculation done using the Complexity=Volume conjecture. arXiv:1806.06216v1 [hep-th]

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“…See the generalizations of the conjectures to CV 2.0 and CA2.0 in [17][18][19]. Others see [20][21][22][23][24][25][26][27][28][29][30][31][32][33][34][35][36][37][38].…”

Section: Introductionmentioning

confidence: 99%

Holographic subregion complexity in Einstein-Born-Infeld theory

2019

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We numerically investigate the evolution of the holographic subregion complexity during a quench process in Einstein-Born-Infeld theory. Based on the subregion CV conjecture, we argue that the subregion complexity can be treated as a probe to explore the interior of the black hole. The effects of the nonlinear parameter and the charge on the evolution of the holographic subregion complexity are also investigated. When the charge is sufficiently large, it not only changes the evolution pattern of the subregion complexity, but also washes out the second stage featured by linear growth.

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Complexity growth rates for AdS black holes in massive gravity and f(R) gravity

Cited by 59 publications

References 68 publications

Holographic complexity of charged Taub-NUT-AdS black holes

Holographic complexity of charged Taub-NUT-AdS black holes

Complexity and action for warped AdS black holes

Holographic subregion complexity in Einstein-Born-Infeld theory

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